Answer:
s = 4.28 cm (Answer A)
Step-by-step explanation:
1) The formula for the circumference of a circle of radius r is C = 2(pi)r, and this corresponds to a full circle, with central angle 360 degrees.
2) Here the circumference is 28 cm. Therefore, solving for the radius involves the following calculation: 28 cm = 2(pi)r, or
r = (28 cm) / (2 pi), or (28 cm) / 6.28 = 4.46 cm.
3) The arc length s = r(theta), when the central angle (theta) is 55 degrees, is (55/360) times the circumference of the circle: (55/360)(28 cm), or
s = 4.28 cm (Answer A)
